范畴论在物理中的应用研讨班丨Introduction to category theory in physics (II)

2022-07-11 08:26:48

时间:2022年7月15日(星期五)14:00-15:50

地点:西湖大学云谷校区E4-201


主讲人:许容阁,西湖大学博士生

报告题目:Introduction to category theory in physics (II)


报告摘要:

Last time we introduced the concept of a category, and used toric code model as an example to show that the particle-like topological defects of a 2d topological order form a braided monoidal category.

For the second lecture we will continue on analyzing the categorical structures in the toric code model, especially for the relationship between the 2d bulk and its 1d boundaries. We will introduce the mathematical concept of a functor, then show the topological defects of a 1d topological order form a fusion category. Moreover, the bulk-to-boundary map is a central functor.


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